The statement I disagreed with was this:
Mourning a pet is like mourning any other life that was meaningful to a person.
There are fundamental differences between an animal dying and a pet dying. How they are different doesn't matter quite so much as that they are different and that is why I objected to the statement.
The statement seemed to serve the purpose of characterizing mourning the death of a pet as on par with mourning the death of a human being for the purpose of showing why those grieving the death of a pet should be offered compassion in much the same way as if the death were of a human being. I don't think its necessary to go there.
It is debatable and the debate does not need to be brought into it. The "how" is not something that is relevant to the forum.
Grief is not a competition. Grief is grief. Grief should be respected, period. Then, it doesn't matter what my opinion is or what your opinion is or anyone else for that matter.
The point is that one should give compassion and comfort to someone who is grieving regardless of the source of the grief.